What is the Least Common Multiple of 94008 and 94023?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94008 and 94023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94008 and 94023, than apply into the LCM equation.

GCF(94008,94023) = 3
LCM(94008,94023) = ( 94008 × 94023) / 3
LCM(94008,94023) = 8838914184 / 3
LCM(94008,94023) = 2946304728

Least Common Multiple (LCM) of 94008 and 94023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94008 and 94023. First we will calculate the prime factors of 94008 and 94023.

Prime Factorization of 94008

Prime Factorization of 94023

Now multiplying the highest exponent prime factors to calculate the LCM of 94008 and 94023.

LCM(94008,94023) = 2³ × 3² × 3917¹ × 31¹ × 337¹
LCM(94008,94023) = 2946304728